4935398400 has 396 divisors, whose sum is σ = 18267493504. Its totient is φ = 1271808000.

The previous prime is 4935398399. The next prime is 4935398417. The reversal of 4935398400 is 48935394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7142055 + ... + 7142745.

Almost surely, 2^4935398400 is an apocalyptic number.

4935398400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4935398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9133746752).

4935398400 is an abundant number, since it is smaller than the sum of its proper divisors (13332095104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4935398400 is a wasteful number, since it uses less digits than its factorization.

4935398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4935398400 is about 70252.3907066514. The cubic root of 4935398400 is about 1702.5795210840.

The spelling of 4935398400 in words is "four billion, nine hundred thirty-five million, three hundred ninety-eight thousand, four hundred".